Using an exponential function, it is found that it takes 18.6 days for 80% of the material to decay.
The amount of a substance after t days is modeled by:
In which:
- k is the decay rate, as a decimal.
- A(0) is the initial amount.
The half-life is of 8 days, hence 
, and this is used to find k.
Hence:
The time it takes for 80% of the material to decay it t for which 
, hence:
It takes 18.6 days for 80% of the material to decay.
To learn more about exponential functions, you can take a look at brainly.com/question/24906920
Answer:
$5,675
Step-by-step explanation:
you would just take 4% and 5% of 2500 which is 100 and 125 and multiply them both by 3 which is 300 and 375 and add them both to the 2500 which is 2800 and 2875 and since it asks for the sum you would add then to get a total of $5,675
Are you asking for the expression?
If so, you plug into the format (x - h)² + (y - k)² = r² where (h, k) is the center and r is the radius.
(x + 2.5)² + (y + 4.4)² = (7/4)²
Simplify to get your equation and answer:
(x + 2.5)² + (y + 4.4)² = 49/16
Answer:
5/6
Step-by-step explanation:
- 1 has a 1/6 chance
- 2 has a 1/6 chance
- 3 has a 1/6 chance
- 5 has a 1/6 chance
- 6 has a 1/6 chance
- 1, 2, 3, 5, or 6 has a 1/6+1/6+1/6+1/6+1/6=5/6 chance
